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Geometry S1 Exam Review

Total questions: 137

Worksheet time: 3hrs 13mins

Name
Class
Date
1.
What is the name of the RED line?
a)
RT
b)
RX
c)
TX
d)
Triangle TRX
2.
What is the name of the GREEN line?
a)
RT
b)
RX
c)
TX
3.
What is the name of the PURPLE line?
a)
AB
b)
BC
c)
BD
d)
AD
4.
How many points do you need to make a line?
a)
1
b)
at least 2
c)
3
d)
4
5.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
6.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
7.
A line that contains point M.
a)

Line q

b)

Line p

c)

Line r

8.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
9.

True or False: Points B, C, and D are coplanar.

a)

True

b)

False

10.
True or False: Points A, B, and C are collinear.
a)
True
b)
False
11.
a)
plane FBC
b)
plane BAD
c)
plane FEC
d)

plane FKD

12.
How many points do you need to make a plane?
a)
1
b)
2
c)
at least 3
d)
0
13.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

14.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

15.

An example of 2 non-collinear points.

a)

D, E

b)

C, B

c)

F, E

d)

F, B

16.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
17.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
18.

Which equation would you use to solve for the missing angle measure?

a)

x + 115 = 180

b)

x + 115 = 90

c)

x + 115 = 115

d)

x + 115 = 270

19.

Two angles with a sum of 90 degrees

a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
20.

What is the measure of angle x?

a)
20o
b)
70o
c)
160o
d)
180o
21.
If the measure of ∠2 is 83°, what is the measure of ∠3?
a)
b)
17°
c)
83°
d)
97°
22.
What is the supplement angle to 42°?
a)
48°
b)
138°
c)
100°
d)
Not possible
23.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
24.
Which are pairs of adjacent angles?
a)
∠COB & ∠DOA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOC
25.
Name the vertical angle to
∠h.
a)
∠f
b)
∠i
c)
∠g
d)
∠j
26.
Name a pair of angles that form a linear pair.
a)
Angles 1 and 2
b)
Angles 2 and 4
c)
Angles 5 and 8
d)
Angles 9 and 10
27.

Find the value of x.

28.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

29.

Solve for x.

30.

Which angles are vertical angles?

a)

8 & 7\angle8\ \&\ \angle7

b)

8 & 6\angle8\ \&\ \angle6

c)

8 & 5\angle8\ \&\ \angle5

31.

Name the angle relationship shown.

a)

Adjacent

b)

Vertical

c)

Complementary

d)

Supplementary

e)

No relationship

32.
Are these angles an example of complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
33.

Find the measure of NJZ\angle NJZ  

a)

38

b)

90

c)

52

d)

128

34.
Find the value of ∠A.
35.
If ray OR is the angle bisector of ∠POQ, and m∠POR = 38°, what is the m∠POQ?
36.
If < ABC= 103⁰, find m< ABD
37.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
38.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
39.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
40.
Identify the correct statement.
a)
∠1 & ∠8
are alternate interior angles
b)
∠2 & ∠3
are alternate interior angles
c)
∠4 & ∠5
are alternate interior angles
d)
∠7 & ∠4
are alternate interior angles
41.

A = ?\angle A\ =\ ?

42.

B = ?\angle B\ =\ ?

43.

C = ?\angle C\ =\ ?

44.

J = ?\angle J\ =\ ?

45.

If 1 = 27°\angle1\ =\ 27\degree   , find the measure of 4\angle4  .

46.

Solve for y.

47.

Which of the following terms best describes the relationship between w \angle w\  and x\angle x  ?

a)

Corresponding angles

b)

Consecutive interior angles

c)

Alternate interior angles

d)

Alternate exterior angles

48.
Solve for y.
49.
Line l and m are cut by transversal n.  Which statement proves that line l is parallel to line m?
a)
∠2 ≅ ∠3
b)
∠2 ≅ ∠6 
c)
m∠7 + m∠8 = 180°
d)
m∠3 + m∠5 = 90°
50.
Which value of x will show that lines l and m are parallel?
51.
Solve for x.
52.
Solve for x.
53.

Find the distance between J and K. Leave your answer in simplified radical form.

54.

What is the midpoint between (0, -4) and (-8, 14)?

a)

(4, 5)

b)

(-4, 5)

c)

(-4, -5)

d)

(4, -5)

55.

Find the midpoint of PQ\overline{PQ} .

a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

56.

Which figure below illustrates the statement "J is the midpoint of segment DK"?

a)
b)
c)
d)
57.
B is the midpoint of AC.  Find AB.
58.

Find x if the length of PR is 45 units in length.

59.

If DF=9x-39, find EF.

60.
Find the value of x.
61.

EJ \overrightarrow{EJ}\  bisects  DEF\angle DEFmDEJ=5x+7m\angle DEJ=5x+7  ,  mJEF=8x8m\angle JEF=8x-8 .
Find x.

62.

Which point is the vertex?

a)

A

b)

B

c)

C

d)

None of the Above

63.

What is the correct way to label the angle shown?

a)

∠DEF

b)

∠1

c)

∠EFD

d)

∠DFE

64.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
65.

JKL\angle JKL is a right angle. What are the measures of JKM\angle JKM and MKL\angle MKL ?

a)

63, 27

b)

63, 33

c)

5, 33

d)

30, 60

66.

Choose the correct name for the angle marked 6.\angle6.  

a)

KVL\angle KVL  

b)

LKV\angle LKV  

c)

V\angle V  

d)

JKV\angle JKV  

67.

 ∠A ≅

a)

∠M

b)

∠N

c)

∠L

68.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
69.

What is the measure of C\angle C ?

70.

Given ∆ABC≅∆XYZ, which of the following is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

71.

If ∆LMK ≅ ∆LMT, then ∠K ≅

a)

MT

b)

∠T

c)

∠M

d)

∠L

72.
Complete the congruence statement.
a)

CRP

b)

PCR

c)

RPC

d)

PRC

73.

Which side of ΔDWY\Delta DWY  corresponds with side AC in ΔABC\Delta ABC  ?

a)

Side WY

b)

Side DW

c)

Side DW

74.
What does x equal?
75.

Which of the following statements is NOT true if 

ABCD  \cong   RSTU?

a)

CD  TU\overline{CD}\ \cong\ \overline{TU}

b)

AB  RS\overline{AB}\ \cong\ \overline{RS}

c)

T  C\angle T\ \cong\ \angle C

d)

A  U\angle A\ \cong\ \angle U

76.

Given ΔXPS ΔDNF\Delta XPS\ \cong\Delta DNF , what is the value of y?

77.

Given ΔPRS  ΔCFH\Delta PRS\ \cong\ \Delta CFH , what is the value of x?

78.

Given ΔPRS  ΔCFH\Delta PRS\ \cong\ \Delta CFH , what is the value of z?

79.

Solve for x.

80.

Find the measure of angle A.

81.

What is the measure of angle A in the triangle?

82.

Find m ∠B.

83.
Which angle is the vertex angle?
a)

\angle C

b)

\angle A

c)

\angle B

84.

If an isosceles triangle has a base angle measuring 40°, then what measure is the VERTEX angle?

85.

What is the measure of BC?

86.
Find x
87.

If AEDE, then A  ?If\ AE\cong DE,\ then\ \angle A\ \cong\angle\ ?  

a)

B

b)

C

c)

D

d)

E

88.

Solve for the value of X.

X= (a)  

89.

Solve for x.

90.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Congruent by ASA

d)

Congruent by AAS

e)

Not Congruent

91.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

d)

Congruent by ASA

e)

Congruent by AAS

92.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

d)

Congruent by ASA

e)

Congruent by AAS

93.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

d)

Congruent by ASA

e)

Congruent by AAS

94.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

d)

Congruent by ASA

e)

Congruent by AAS

95.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

96.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

97.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

98.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

99.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

100.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
101.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
102.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
103.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
104.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

105.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

106.
State what additional information is required in order to know that the triangles are congruent for the given reason.
a)
∡L≅∡I
b)
∡J≅∡G
c)
∡K≅∡H
107.
State what additional information is required in order to know that the triangles are congruent for the given reason.
a)
∡W≅∡W
b)
∡E≅∡X
c)
∡V≅∡G
108.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
HI have a dog.
109.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.
a)
If the angles are congruent.
b)
The angles are congruent.
c)
Then the measures of the angles are equal.
d)
The measures of the angles are equal.
110.
If an animal is furry, then it is a hamster. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
111.
Which is the correct if-then statement for: "you will be late to school if you miss the bus."
a)
If you are late to school, then you will miss the bus.
b)
If you miss the bus, then you will be late to school
c)
If you sleep late, then you don't have to go to school.
d)
If you miss the bus, then you'll have to walk and be late.
112.

What is the next number in the pattern?

-3, 9, -27, 81, ....

a)

243

b)

-243

c)

183

d)

-183

113.

What is the If-Then statement for the conditional:

All kangaroos jump.

a)

If it jumps, then it's a kangaroo.

b)

It jumps if and only if it's a kangaroo.

c)

If it's a kangaroo, then it jumps.

d)

If it doesn't jump, then it's not a kangaroo.

114.

Which is a valid counterexample for the statement?

The product of a negative integer and another integer is always negative.

a)

-4(3)=-12

b)

(-5)(-2)=10

c)

4(6)=24

d)

5(-6)=-30

115.

What is the next letter in the pattern? B, E, H, K ...

a)

L

b)

M

c)

N

d)

O

116.

Which is a counterexample to the following statement?

If an angle is obtuse, then it is 125°125\degree .

a)

90°90\degree  

b)

57°57\degree  

c)

160°160\degree  

d)

180°180\degree  

117.
Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.
a)
Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars
b)
Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend
c)
Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life
d)
Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends
118.
This symbol, ∧, means?
a)
and
b)
or 
c)
not 
d)
implies
119.
This symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
120.
T Λ F = 
a)
T
b)
F
c)
Uncertain 
121.
T V F = 
a)
T
b)
F
c)
Uncertain
122.

If p is true and q is false, then find the truth value of;

~q ∨ [(~q ∧ ~p)∨ p ]

a)

F

b)

T

c)

Not enough information

123.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
124.
Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
125.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
If angles are not congruent, then the measures of the angles are not equal.
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
126.
If a = b, then a + c = b + c
a)
Commutative Property
b)
Associative Property
c)
Addition Property of Equality
d)
Additive Identity
127.
Identify the property of equality.
If 9=x, then x=9
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
128.

Which reason justifies the statement below?


CD + DE = CE and DE = XY, then CD + XY = CE

a)

Segment Addition Postulate

b)

Substitution Property

c)

Symmetric Property

d)

Transitive Property

129.

Which reason justifies the statement below?


If MN = PQ, then MN ≅ PQ.

a)

Definition of Congruence

b)

Definition of Midpoint

c)

Reflexive Property

d)

Symmeric Property

130.

Which reason justifies the statement below?


If <T and <U are complementary, then <T + <U = 90.

a)

Complements Theorem

b)

Definition of Right Angles

c)

Definition of Complementary Angles

d)

Congruent Complements Theorem

131.

Which reason justifies the statement below?


m<ABC + m<DBC = m<DBA

a)

Angle Addition Postulate

b)

Definition of Angle Bisector

c)

Definition of Congruence

d)

Addition Property

132.

Which reason justifies the statement below?


If <T and <U are supplementary, then <T + <U = 180.

a)

Definition of Complementary Angles

b)

Definition of Supplementary Angles

c)

Complements Theorem

d)

Supplements Theorem

133.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
134.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
135.
If X is between R & T on a line,
then RX + XT = RT
a)
Addition POE
b)
Substitution POE
c)
Angle Addition Post.
d)
Segment Addition Post.
136.
What is the reason?
a)
Definition of Vertical Angles
b)
Angle Addition
c)
Definition of Bisects
d)
Definition of Angle
137.

What is the answer to #4?

a)

Prove

b)

Multiplication Property

c)

Division Property

d)

Addition Property